This is my innovative PPT on Matrix

1. UNIT 1
TOPIC : MATRIX
PRESENTATION BY : ASKARI MIRZA
ENROLLMENT NO. : 2404030100273

2. DEFINITION OF MATRIX
An arrangement of elements (numbers or symbols) in rows
and columns with rectangular form is known as matrix.

3. STRUCTURE OF MATRIX
ELEMENT :
The individual items in a matrix are called elements.
ROWS & COLUMNS :
A matrix is defined by the number of rows (horizontal lines) and
columns (vertical lines).

4. TYPES OF MATRIX
ROW MATRIX :
This matrix has a single row.
[ ]
1
2
3
[ ]
1 2 3
COLUMN MATRIX :
This matrix has a single column .

5. TYPES OF MATRIX
SQUARE MATRIX :
A matrix that has a equal number of rows &
columns. [ ]
NULL / ZERO MATRIX :
A matrix where all the elements are zero.
1 2 3
2 4 5
3 6 7
3 X 3
[ ]
0 0 0
0 0 0
0 0 0

6. TYPES OF MATRIX
IDENTITY MATRIX:
In a square matrix all the diagonal elements are 1
and other elements are zero then it knowns as
identity matrix.
[ ]
DIAGONAL MATRIX :
In a square matrix if all the diagonal elements are non-zero
and other elements are zero then the matrix is called
diagonal matrix.
1 0 0
0 4 0
0 0 7
[ ]
1 0 0
0 1 0
0 0 1

7. TYPES OF MATRIX
[ ]
UPPER TRIANGULAR MATRIX :
In a square matrix above the diagonal elements are non-
zero and other elements are zero it is called upper
triangular matrix.
1 -1 5
0 4 8
0 0 7
[ ]
1 0 0
6 4 0
2 -3 7
LOWER TRIANGULAR MATRIX :
In a square matrix below the diagonal elements are non-
zero and other elements are zero then it is called lower
triangular matrix.

8. Matrices are used in various real-life
applications to solve the problem, they
also help to organize and manipulate
data.

9. REAL-LIFE APPLICATIONS
GRAPICHS
Digital images are referred to as
matrices when used in graphic
design. The rows and columns
of the matrix are equivalent to
the rows and columns of pixels.
The number entries match the color
codes of the pixels.

10. REAL-LIFE APPLICATIONS
CRYPTOGRAPHY
Matrices are used in encryption
algorithms, where operations
help to secure the information.
Send : “How are you”
Matrix operation
Received : “How are you”
NUMERIC
FORM
ENCODE
MESSAGE
DECODE
MESSAGE

11. THANK YOU